A method is provided in one example embodiment and includes receiving a first congestion message associated with traffic congestion in a signaling system seven (SS7) a network, the first congestion message being associated with a first timer. The method also includes receiving a second congestion message after the first timer has expired and before a second timer has expired. The method further includes communicating a portion of traffic, which was originally intended for a first destination, to a second destination in the network based on receiving the second congestion message. The method can further include recovering and returning to an initial state.